Rijksuniversiteit Groningenfounded in 1614  -  top 100 university

## An invitation to algebraic number theory and class field theory

Ruíz Duarte, E. 1-Mar-2017

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This informal document was motivated by a question here at my university by a bachelor student. I will try to expose something that personally I think is impressive. The aim is to do it in such a way that is understandable with a basic knowledge of algebra. \\We will examine without any rigor the "generalization" in some sense of the concept of "factorization", not just in the integers $\mathbb{Z}$ but in some "generalized" integers from number fields of the form $\mathbb{Q}(\sqrt{-n})$ for $n>0$. The problems in these new rings that will arise will give us interesting mathematics.
Original language English 8 Published - 1-Mar-2017